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Finding the Third Proportional to 193,538 and 290,307

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Solution

The third proportional to 193,538 and 290,307 is: 435,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,538 : 290,307 = 290,307 : x
  2. Step 2: Convert to fraction form
    193,538/290,307 = 290,307/x
  3. Step 3: Cross multiply
    193,538x = 290,307 × 290,307
  4. Step 4: Simplify right side
    193,538x = 84,278,154,249
  5. Step 5: Solve for x
    x = 84,278,154,249/193,538
  6. Step 6: Final answer
    x = 435,460.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.